Mathematical population and agent-based models successfully simulate various facets of language evolution, including convergence on shared conventions, statistical regularities in word embeddings, and vocal accommodation dynamics.
The claim is that mathematical population models successfully simulate language evolution. Several papers provided directly support this: Paper [2] demonstrates emergent linguistic convention using population models and agent-based simulations; Paper [6] uses generative models to successfully simulate statistical regularities and evolutionary patterns in language; and Paper [8] shows that mathematical models accurately simulate vocal accommodation phenomena that serve as foundations for language evolution. No papers contradict this claim, leading to a SUPPORTED verdict.